Definite Integral Worksheets

Solutions

Calculate the definite integrals of the following:

1 Definite Integral Exercise

2 Definite Integral Exercise

3 Definite Integral Exercise

4 Definite Integral Exercise

5 Definite Integral Exercise

6 Definite Integral Exercise

7 Definite Integral Exercise


1

Definite Integral Exercise

Definite Integral Solution


2

Definite Integral Exercise

Definite Integral Operations

Definite Integral Solution


3

Definite Integral Exercise

Definite Integral Solution


4

Definite Integral Exercise

Definite Integral Solution


5

Definite Integral Exercise

Definite Integral Operations

Definite Integral Solution


6

Definite Integral Exercise

Derive

Integrate

Definite Integral Operations

Definite Integral Operations

Definite Integral Solution


7

Definite Integral Exercise

Calculate the definite integral by change of variable.

Definite Integral Operations

Change of Variable

Change of  Variable

Find the new limits of integration.

Definite Integral Operations

Definite Integral Operations

Definite Integral Operations

Integrate by parts.

Derive

Integrate

Definite Integral Operations

Definite Integral Operations

Also, this can be done without transforming the integration limits and returning to the initial variable.

Change of Variable

Definite Integral Operations

Definite Integral Solution